@article{AIHPC_2007__24_4_521_0, author = {Shirikyan, Armen}, title = {Exact controllability in projections for three-dimensional {Navier-Stokes} equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {521--537}, publisher = {Elsevier}, volume = {24}, number = {4}, year = {2007}, doi = {10.1016/j.anihpc.2006.04.002}, zbl = {1119.93021}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.002/} }
TY - JOUR AU - Shirikyan, Armen TI - Exact controllability in projections for three-dimensional Navier-Stokes equations JO - Annales de l'I.H.P. Analyse non linéaire PY - 2007 SP - 521 EP - 537 VL - 24 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.002/ DO - 10.1016/j.anihpc.2006.04.002 LA - en ID - AIHPC_2007__24_4_521_0 ER -
%0 Journal Article %A Shirikyan, Armen %T Exact controllability in projections for three-dimensional Navier-Stokes equations %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 521-537 %V 24 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.002/ %R 10.1016/j.anihpc.2006.04.002 %G en %F AIHPC_2007__24_4_521_0
Shirikyan, Armen. Exact controllability in projections for three-dimensional Navier-Stokes equations. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 4, pp. 521-537. doi : 10.1016/j.anihpc.2006.04.002. http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.002/
[1] Navier-Stokes equations: controllability by means of low modes forcing, J. Math. Fluid Mech. 7 (2005) 108-152. | Zbl
, ,[2] A.A. Agrachev, A.V Sarychev, Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing, Comm. Math. Phys. (2006), in press. | Zbl
[3] Flow invariance preserving feedback controllers for the Navier-Stokes equation, J. Math. Anal. Appl. 255 (2001) 281-307. | Zbl
, ,[4] Internal stabilization of Navier-Stokes equations with finite-dimensional controllers, Indiana Univ. Math. J. 53 (2004) 1443-1494. | Zbl
, ,[5] On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM Control Optim. Calc. Var. 1 (1995/96) 35-75, (electronic). | Numdam | Zbl
,[6] On the controllability of 2-D incompressible perfect fluids, J. Math. Pures Appl. 75 (1996) 155-188. | MR | Zbl
,[7] Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary, Russian J. Math. Phys. 4 (1996) 429-448. | Zbl
, ,[8] On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain, SIAM J. Control Optim. 37 (1999) 1874-1896, (electronic). | MR | Zbl
,[9] On the approximate and null controllability of the Navier-Stokes equations, SIAM Rev. 41 (1999) 269-277, (electronic). | Zbl
,[10] Exact boundary zero controllability of three-dimensional Navier-Stokes equations, J. Dynam. Control Systems 1 (1995) 325-350. | Zbl
,[11] Exact controllability of the Navier-Stokes and Boussinesq equations, Russian Math. Surveys 54 (1999) 565-618. | Zbl
, ,[12] Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control, J. Math. Fluid Mech. 3 (2001) 259-301. | Zbl
,[13] Stabilization for the 3D Navier-Stokes system by feedback boundary control, Discrete Contin. Dynam. Syst. 10 (2004) 289-314.
,[14] Exact boundary controllability of 3-D Euler equation, ESAIM Control Optim. Calc. Var. 5 (2000) 1-44, (electronic). | Numdam | MR | Zbl
,[15] On exact controllability for the Navier-Stokes equations, ESAIM Control Optim. Calc. Var. 3 (1998) 97-131, (electronic). | Numdam | Zbl
,[16] A. Shirikyan, Approximate controllability of three-dimensional Navier-Stokes equations, Comm. Math. Phys. (2006), in press. | Zbl
[17] Partial Differential Equations. I-III, Springer-Verlag, New York, 1996. | Zbl
,[18] Navier-Stokes Equations, North-Holland, Amsterdam, 1979. | Zbl
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